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Click or touch the graph to plot the ordered pairs. Use the interactive graphing tool to plot the ordered pairs. X y 4 (-2,0), (-1, -3), (0, -4), (1, -3), (2,0) 2 Using your graph, how many points lie on the x-axis? -4 -2 2 4 оо -2 O 1 -4. o 2 O 3 Reset

Click or touch the graph to plot the ordered pairs. Use the interactive graphing tool-example-1
User Elielink
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2 Answers

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24 votes

Final answer:

To determine which points lie on the x-axis, look for ordered pairs with a y-coordinate of 0. In the provided data, the points (-2,0) and (2,0) lie on the x-axis. Plotting data pairs helps to visualize the relationship between x and y on a graph.

Step-by-step explanation:

If we want to determine how many of the given ordered pairs lie on the x-axis, we will need to understand the properties of points that lie on the x-axis. A point lies on the x-axis if its y-coordinate is 0. The given ordered pairs are (-2,0), (-1, -3), (0, -4), (1, -3), and (2,0). From these, we can see that the pairs (-2,0) and (2,0) have y-coordinates of 0. Therefore, these points lie on the x-axis.

Now let's consider the graphing of data pairs more generally. When plotting data pairs on a graph, you position each point by moving along the x-axis to the x-coordinate and then vertically to the y-coordinate. Data pairs like (1,5), (2,10), (3,7), and (4,14) can be connected to visualize the dependence of y on x. Moreover, when the function is given, such as y = x² + 2, we can calculate specific data pairs and plot them to represent the function graphically.

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17 votes

Only 2 points lie on the x-axis, only (-2,0) and (2,0). A point must not lie in any quadrants but

User Imanou Petit
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